What is the Least Common Multiple of 78006 and 78012?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 78006 and 78012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78006 and 78012, than apply into the LCM equation.

GCF(78006,78012) = 6
LCM(78006,78012) = ( 78006 × 78012) / 6
LCM(78006,78012) = 6085404072 / 6
LCM(78006,78012) = 1014234012

Least Common Multiple (LCM) of 78006 and 78012 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78006 and 78012. First we will calculate the prime factors of 78006 and 78012.

Prime Factorization of 78006

Prime Factorization of 78012

Now multiplying the highest exponent prime factors to calculate the LCM of 78006 and 78012.

LCM(78006,78012) = 2² × 3² × 13001¹ × 11¹ × 197¹
LCM(78006,78012) = 1014234012